All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

AIP Conference Proceedings

Volume

1360

Issue

63

Publisher

American Institute of Physics

Publication Date

9-2010

First Page

63

Last Page

74

DOI

10.1063/1.3599128

Abstract

This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais’ Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields the correct symmetry-reduced Euler-Lagrange equations.

Comments

Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

The following article appeared in AIP Conference Proceedings and may be found at (http://proceedings.aip.org/resource/2/apcpcs/1360/1/63_1).

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